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Which of the binomials below is a factor of this expression?9x2 + 48xy + 64y2A.3x - 8yB.3x - 16yC.3x + 8yD.3x + 16y

Question

Which of the binomials below is a factor of this expression?9x2 + 48xy + 64y2A.3x - 8yB.3x - 16yC.3x + 8yD.3x + 16y

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Solution

The given expression is 9x^2 + 48xy + 64y^2.

This is a perfect square trinomial, which can be factored as (3x + 8y)^2.

Therefore, the binomial that is a factor of the given expression is 3x + 8y.

So, the correct answer is C. 3x + 8y.

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